 | Euclides - 1862 - 172 pàgines
...same parallels EC, AG, therefore the parallelogram FECG is double of the triangle AEC j (1.41) but ' things which are double of the same are equal to one another ' (ax. C) therefore the parallelogram FECG is equal to the triangle ABC, and it has one of its angles... | |
 | Euclides - 1863 - 74 pàgines
...unequals, the wholes are unequal. •I. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same are equal to one...are halves of the same, are equal to one another. II. The Five Axioms, which apply especially to magnitude^ are peculiarly AXIOMS OF GEOMETBT: 8. Magnitudes... | |
 | Euclides - 1863 - 122 pàgines
...uuequals, the remainders are unequal. 7. Things which are halves of the same, are equal to one another. 6. Things which are double of the same, are equal to one another. 8. Magnitudes which coincide with one another, that which is exactly fill the same space, are equal... | |
 | Euclides - 1864 - 448 pàgines
...unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another. vn. Things which are halves of the same, are equal to one another. vin. Magnitudes which coincide with... | |
 | Robert Potts - 1865 - 528 pàgines
...unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another. vn. Things which are halves of the same, are equal to one another. vm. Magnitudes which coincide with... | |
 | Euclides - 1865 - 402 pàgines
...nnequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another. VII. Things which are halves of the same, are equal to one another. VIII. Magnitudes which coincide... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...equals be taken from unequals the remainders are unequal. 6. Things which are double of the same thing are equal to one another. 7. Things which are halves of the same thing are equal to one another. 8. Magnitudes which coincide with one another, that is, which exactly... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pàgines
...equals be taken from unequals the remainders are unequal. 6. Things which are double of the same thing are equal to one another. 7. Things which are halves of the same thing are equal to one another. 8. Magnitudes which coincide with one another, that is, which exag^ly... | |
 | Robert Potts - 1868 - 434 pàgines
...unequals, the wholes are unequal. V. If equals be taken from unequals, the remainders are unequal. VI. Things which are double of the same, are equal to one another. VII. Things which are halves of the same, are equal to one another. VEIL Magnitudes which coincide... | |
 | Euclides - 1870 - 270 pàgines
...unequals, the wholes are unequal. 5. If equals be taken from unequals, the remainders are unequal. 6. Things which are double of the same, are equal to...are halves of the same, are equal to one another. II. The Five Axioms, which apply especially to magnitude, are peculiarly Axioms of Geometry. 8. Magnitudes... | |
| |
Things which are double of the same, are equal to one another. 7. Things which are halves of the same, are equal to one another. 
